论文标题

CP-ODD三环算子的非扰动重新归一化方案

Non-perturbative renormalization scheme for the CP-odd three-gluon operator

论文作者

Cirigliano, Vincenzo, Mereghetti, Emanuele, Stoffer, Peter

论文摘要

我们为第六位的$ CP $ -ODD三胶合运算符定义了独立于正规化的动量辅助方案。该操作员出现在标准模型之外的重型物理学的有效领域理论中,描述了低能能在低能能下新来源的$ CP $抗事的间接效果。在忍者环境下,它会诱导永久的电偶极矩。三胶合算子的HADRONIC矩阵元素是非扰动对象,理想地应使用晶格QCD评估。我们定义了可以在晶格上实现的非扰动重量化方案,并在一个循环下将方案转换为$ \ overline {\ text {ms}} $。我们的计算可以用作三胶合算子基质元素的未来晶格QCD计算的接口,以便从中子电动偶极力矩的测量值中获得超出标准模型的物理学的理论上强大的约束。

We define a regularization-independent momentum-subtraction scheme for the $CP$-odd three-gluon operator at dimension six. This operator appears in effective field theories for heavy physics beyond the Standard Model, describing the indirect effect of new sources of $CP$-violation at low energies. In a hadronic context, it induces permanent electric dipole moments. The hadronic matrix elements of the three-gluon operator are non-perturbative objects that should ideally be evaluated with lattice QCD. We define a non-perturbative renormalization scheme that can be implemented on the lattice and we compute the scheme transformation to $\overline{\text{MS}}$ at one loop. Our calculation can be used as an interface to future lattice-QCD calculations of the matrix elements of the three-gluon operator, in order to obtain theoretically robust constraints on physics beyond the Standard Model from measurements of the neutron electric dipole moment.

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